Neco 2023 Further Mathematics Question 14

Practice objective / multiple choice question 14 from the 2023 Neco Further Mathematics examination.

Neco 2023 Further Mathematics Objective / Multiple Choice Medium Difficulty

Question 14 NECO • 2023 • FURTHER_MATHEMATICS • objective

Given that \(\int_{0}^{\pi} (a\sin x + \cos x)^{2}\,dx = \frac{3\pi}{2}\), determine all possible values of \(a\) and then evaluate \(\int_{0}^{\pi} (a\sin x + \cos x)\,dx\).

A. a = \\pm\\sqrt{2}, integral = \\mp 2\\sqrt{2}

Correct Answer B. a = \pm\sqrt{2}, integral = \pm 2\sqrt{2}

C. a = \\pm\\sqrt{3}, integral = \\pm 2\\sqrt{3}

D. a = \\pm 1, integral = \\pm \\sqrt{2}

Correct Answer

Correct Option:

a = \pm\sqrt{2}, integral = \pm 2\sqrt{2}

This is Neco 2023 Further Mathematics Question 14. It is one of the objective questions from the 2023 Neco Further Mathematics examination.

Difficulty level: Medium .

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